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Local maximum principles in high-order non-oscillatory schemes for non-linear hyperbolic equations
In a preceding paper, (Capdeville, 2013), and following Linde's work (Linde, 2002 [2]), we constructed an approximate Rankine–Hugoniot Riemann solver (HLL-RH) for complex and non-linear hyperbolic problems. This solver rested upon a newly defined “smoothness-indicator” directly derived from polynomi
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